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122316432541 is a prime number
BaseRepresentation
bin111000111101010100…
…0001010010010011101
3102200201102221120120021
41301322220022102131
54001001001320131
6132105201352141
711560054344022
oct1617250122235
9380642846507
10122316432541
114796848a186
121b857638651
13b6c4093c04
145cc4c51549
1532ad520e11
hex1c7aa0a49d

122316432541 has 2 divisors, whose sum is σ = 122316432542. Its totient is φ = 122316432540.

The previous prime is 122316432529. The next prime is 122316432569. The reversal of 122316432541 is 145234613221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 75283835641 + 47032596900 = 274379^2 + 216870^2 .

It is an emirp because it is prime and its reverse (145234613221) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122316432541 is a prime.

It is a super-2 number, since 2×1223164325412 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122316432497 and 122316432506.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122316432341) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61158216270 + 61158216271.

It is an arithmetic number, because the mean of its divisors is an integer number (61158216271).

Almost surely, 2122316432541 is an apocalyptic number.

It is an amenable number.

122316432541 is a deficient number, since it is larger than the sum of its proper divisors (1).

122316432541 is an equidigital number, since it uses as much as digits as its factorization.

122316432541 is an evil number, because the sum of its binary digits is even.

The product of its digits is 34560, while the sum is 34.

The spelling of 122316432541 in words is "one hundred twenty-two billion, three hundred sixteen million, four hundred thirty-two thousand, five hundred forty-one".